10.49 A multiple-comparison procedure for comparing four NW treatment means produced the confidence intervals shown here. Rank the means from smallest to largest. Which means are significantly different? (12): (2,15) (μ1-μ3): (4,7) (M1 - 14): (-10, 3) - (M2 M3): (-5, 11) - (M2 M4): (-12, -6) (M3 M4): (-8,-5)
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- A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean score over all those students on the first midterm was u = 88 with standard deviation o = 10. One year, the teacher taught a %3D much smaller class of only 25 students. The teacher wanted to know if teaching a smaller class was more effective and students performed better. We can consider the small class as an SRS of the students who took the large class over the years. The average midterm score was = 78. The hypothesis should be: a. Ho: H = 78 vs. Ha: H = 88. %3D O b. Ho: µ = 88 vs. Ha: µ 78 %3D Ο d. Ho: μ-88 νs. Ha: μ >88. %3D6.12 Margin of error and the confidence interval. A stress level study based on a random sample of 49 undergraduates at your university reported a mean of 73 (on a 0 to 100 scale) with a margin of error of 8 for 95% confidence. (a) Give the 95% confidence interval.Newspaper headlines recently announced a decline in science scores among high school seniors. In 2015, 15,109 seniors tested by The National Assessment in Education Program (NAEP scored a mean of 147 points. In 2000, 7537 seniors had averaged 150 points. The standard error of the difference in the mean scores for the two groups was 1.22. a) State the null and alternative hypotheses in terms of the appropriate parameter. Ho: p1 - µ2 HA: H1 - µ2 b) The point estimate is c) The test statistic is ? v . (If necessary, round your answer to the nearest hundredth.) d) The p-value is e) The correct decision is to Select an answer | the null hypothesis. f) There is Select an answer evidence that scores have decreased between 2000 and 2015. g) We are 95% confident that the mean score has decreased by between and points between 2000 and 2015. (If necessary, round your answers to the nearest hundredth.)
- 4/10Suppose a hypertension trial is mounted and 18 participants are randomly assigned to one of three comparison treatments. Each participant takes the assigned medication and his or her systolic blood pressure is recorded after 6 months on the assigned treatment. The data are shown in Table 7–58. Is there a difference in mean systolic blood pressure among treatments? Run the appropriate test at α = 0.05. TABLE 7–58 Systolic Blood Pressure by Treatment Standard Treatment Placebo New Treatment 124 134 114 111 143 117 133 148 121 125 142 124 128 150 122 115 160 128A sample of 33 lights in Austin gives an average of 46 cars/min while the city SD=3.4 A sample of 34 Dallas lights give a mean of 44 cars/mim with the city SD=1.4 At the 91% level, do the towns differ? 1. Is the test (A-Left Tailed, B-Right Tailed, C-2-Tailed) (separate with comma if there are 2) 2. Critical Value 3. Test statistic 4. 3-decimal p-Value